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> ## traditional MM Likert outcome using only black respondents
> ##
> ## August 5, 2019
> ##
> ## Kevin Quinn
> ## University of Michigan
> ##
> 
> library(MCMCpack)
Loading required package: coda
Loading required package: MASS
##
## Markov Chain Monte Carlo Package (MCMCpack)
## Copyright (C) 2003-2019 Andrew D. Martin, Kevin M. Quinn, and Jong Hee Park
##
## Support provided by the U.S. National Science Foundation
## (Grants SES-0350646 and SES-0350613)
##
> set.seed(810411)
> 
> mydata <- read.csv("../ScaleRaceSpring2017clean.csv")
> 
> ## subset data
> mydata <- mydata[mydata$R.race == "Black",]
> mydata <- mydata[!is.na(mydata$R.race),]
> 
> 
> 
> ## keep responses and photo IDs but nothing else
> inds <- 1:24
> keep.vars <- c(paste("X", inds, "_Q339", sep=""),
+                paste("X", inds, "a.id", sep=""))
> 
> mydata.sub <- mydata[, keep.vars]
> 
> 
> ## reshape into long format
> mydata.sub.long <- reshape(mydata.sub, direction="long",
+                            varying=list(c(1:24), c(25:48)),
+                            v.names=c("Y", "photoID"),
+                            ids=rownames(mydata.sub))
> 
> ## keep only obs with non-missing values for MM
> mydata.sub.long <- na.omit(mydata.sub.long)
> 
> mydata.sub.long <- mydata.sub.long[sample(1:nrow(mydata.sub.long),
+                                           size=1000, replace=FALSE),]
> 
> cat("\n\nN =", nrow(mydata.sub.long), "\n\n") 


N = 1000 

> 
> 
> a3.M1.out <- MCMCoprobit(Y ~ as.factor(photoID), data=mydata.sub.long,
+                          burnin=50000, mcmc=1000000, thin=50, tune=0.05,
+                          verbose=10000, seed=71948
+                          )


MCMCoprobit iteration 1 of 1050000 
beta = 
   3.79186
   0.67300
   4.01977
  -0.59105
   1.53843
   1.69590
   1.34739
  -1.15201
   1.56247
   1.64641
   0.12589
   1.56591
  -0.65336
  -0.33182
   0.69752
   2.56174
   0.73410
  -0.91040
   0.97847
   0.41191
   1.77188
   2.09229
   2.43530
   0.33671
  -3.89518
  -2.44098
  -3.09584
  -3.27941
  -1.28902
  -2.44659
  -3.97074
  -3.31675
  -4.06620
  -3.86227
  -2.97451
  -2.07719
  -4.35779
  -3.91844
  -3.44248
  -3.66014
  -3.29566
  -2.90943
  -3.50747
  -2.56961
  -4.52093
  -2.81976
  -1.94605
  -3.16970
Metropolis acceptance rate for gamma = 0.00000



MCMCoprobit iteration 10001 of 1050000 
beta = 
   4.13252
  -0.04469
   3.10941
  -1.57033
   0.97668
   0.75972
   0.41871
  -1.31061
   1.13649
   0.99428
  -0.47701
   0.73987
  -0.67953
  -0.75132
  -0.06892
   1.64928
   0.05347
  -1.26355
   0.19402
   0.15467
   0.89770
   1.47289
   1.86551
   0.27232
  -3.86359
  -2.65297
  -3.54986
  -3.62372
  -1.74336
  -3.01065
  -4.70517
  -3.83980
  -3.95831
  -4.08403
  -3.18630
  -2.38877
  -4.03596
  -4.25900
  -4.13450
  -3.84599
  -3.50655
  -3.01990
  -3.85770
  -2.98725
  -4.51600
  -3.59688
  -2.72882
  -3.69308
Metropolis acceptance rate for gamma = 0.25687



MCMCoprobit iteration 20001 of 1050000 
beta = 
   3.36282
   0.51518
   3.47454
  -0.20870
   1.19415
   1.45832
   0.94974
  -0.93953
   1.33166
   1.67143
  -0.52212
   1.63931
  -0.22425
  -0.11479
   0.40591
   2.09468
   0.98790
  -1.24449
   0.43241
   0.70970
   0.99015
   1.58089
   2.14099
   0.40892
  -3.09120
  -1.67641
  -2.82716
  -2.77679
  -1.69732
  -2.56976
  -4.25876
  -2.74284
  -3.50931
  -3.58956
  -2.59814
  -2.43650
  -3.75177
  -4.08920
  -3.03330
  -2.75349
  -2.70196
  -2.20132
  -2.92699
  -2.30331
  -3.53473
  -3.05584
  -2.45896
  -3.03098
Metropolis acceptance rate for gamma = 0.26029



MCMCoprobit iteration 30001 of 1050000 
beta = 
   3.85172
   0.20696
   4.01720
  -1.38167
   1.61760
   1.09308
   0.95280
  -1.30985
   1.07234
   1.43994
   0.20050
   1.53406
  -0.42713
  -0.53245
   0.30929
   1.96918
   0.49546
  -1.29862
   0.89700
   0.14775
   0.91922
   1.93629
   1.95475
   0.40416
  -3.62613
  -2.58518
  -3.07025
  -3.70000
  -1.40231
  -2.17759
  -4.13191
  -3.14632
  -3.77734
  -3.51790
  -3.42331
  -2.44508
  -4.01617
  -3.95452
  -3.87712
  -3.92747
  -3.25703
  -3.97371
  -3.46472
  -2.76319
  -4.30171
  -3.27153
  -2.32010
  -3.14852
Metropolis acceptance rate for gamma = 0.25956



MCMCoprobit iteration 40001 of 1050000 
beta = 
   4.22135
  -0.15803
   2.79551
  -1.23485
   0.60555
   0.68662
   0.59859
  -1.71401
   1.59707
   0.81014
  -0.59872
   1.27851
  -0.74175
  -0.43669
  -0.14312
   1.35456
  -0.39483
  -1.47734
   0.27897
   0.26502
   0.44316
   1.24738
   1.88808
   0.19551
  -4.34793
  -3.32112
  -3.19594
  -4.33240
  -1.82915
  -2.79677
  -4.53834
  -3.94623
  -4.27323
  -4.11765
  -3.34211
  -3.07496
  -4.20308
  -4.56190
  -4.06010
  -4.01673
  -3.37001
  -3.39138
  -3.53936
  -3.04636
  -4.43982
  -3.49540
  -2.81767
  -3.97896
Metropolis acceptance rate for gamma = 0.25847



MCMCoprobit iteration 50001 of 1050000 
beta = 
   3.60959
   0.18614
   3.88882
  -0.33777
   1.67364
   2.08816
   0.80494
  -1.20101
   1.33813
   1.58994
   0.34354
   1.58330
  -0.26538
  -0.03278
   0.59284
   2.19678
   0.79755
  -0.77302
   1.04716
   0.31357
   1.20459
   2.72084
   2.40027
   0.36570
  -3.74810
  -2.65782
  -2.67009
  -3.22534
  -1.12074
  -2.38037
  -4.02059
  -3.11845
  -4.13979
  -3.14176
  -3.07948
  -2.20235
  -3.94342
  -4.39762
  -3.33390
  -3.54065
  -2.92516
  -2.94000
  -3.04537
  -2.54581
  -3.55101
  -2.87495
  -2.15320
  -3.10471
Metropolis acceptance rate for gamma = 0.25827



MCMCoprobit iteration 60001 of 1050000 
beta = 
   4.03729
   0.09612
   2.90970
  -1.56444
   0.82173
   1.27340
   0.28708
  -1.18224
   1.35426
   1.51623
  -1.07557
   1.38941
  -0.99093
  -0.76739
  -0.19497
   1.38589
   0.11311
  -1.71481
   0.26804
   0.24546
   0.25490
   1.63158
   1.58318
   0.08679
  -3.95031
  -2.85316
  -3.26391
  -3.74622
  -2.03409
  -2.85603
  -4.24930
  -3.98391
  -4.70534
  -4.33867
  -3.36913
  -3.11107
  -4.13615
  -4.57344
  -3.72252
  -3.83571
  -3.30169
  -3.40120
  -3.70467
  -3.00280
  -4.45414
  -3.10072
  -2.82611
  -3.51887
Metropolis acceptance rate for gamma = 0.25648



MCMCoprobit iteration 70001 of 1050000 
beta = 
   4.07692
   0.01026
   3.39710
  -0.89455
   0.99448
   0.92127
   0.38011
  -1.30560
   1.28729
   1.09763
  -0.34677
   1.10165
  -0.78428
  -0.38461
   0.37075
   1.41876
   0.10306
  -1.34626
   0.22660
   0.05889
   0.46427
   1.44969
   1.63610
   0.35965
  -3.99816
  -3.15315
  -3.35163
  -3.89146
  -1.95358
  -3.02856
  -4.66434
  -3.87031
  -4.32688
  -4.04341
  -3.11028
  -2.85331
  -4.96584
  -4.50553
  -3.86704
  -3.72751
  -3.41485
  -3.69929
  -3.69592
  -3.16152
  -4.78012
  -3.43865
  -3.21493
  -3.36294
Metropolis acceptance rate for gamma = 0.25602



MCMCoprobit iteration 80001 of 1050000 
beta = 
   3.88434
   0.14279
   4.30789
  -0.76255
   1.05619
   1.31495
   0.71914
  -1.64085
   1.40082
   1.72972
   0.51726
   1.72081
  -0.83848
  -0.06090
   0.48576
   2.42062
   0.76158
  -1.10191
   0.47665
   0.02137
   0.62049
   1.82004
   2.18548
   0.16715
  -4.15292
  -2.58277
  -3.39762
  -3.28277
  -1.44758
  -3.10476
  -4.04549
  -3.40117
  -3.78284
  -4.45799
  -3.09307
  -2.87221
  -4.26956
  -4.47070
  -3.38360
  -3.06832
  -3.20726
  -3.32585
  -3.65258
  -2.50137
  -4.11122
  -2.95441
  -2.80701
  -3.16921
Metropolis acceptance rate for gamma = 0.25636



MCMCoprobit iteration 90001 of 1050000 
beta = 
   4.28237
  -0.08461
   3.29892
  -1.53384
   1.19915
   1.15658
   0.21660
  -1.42569
   0.71222
   0.81322
  -0.95843
   1.22515
  -0.98620
  -0.80016
  -0.32554
   1.23336
   0.24342
  -1.98477
   0.08785
   0.42120
   0.95815
   1.34820
   1.88010
   0.36990
  -3.91303
  -3.32784
  -3.66754
  -3.96949
  -1.89952
  -2.58337
  -4.73087
  -3.52393
  -3.90395
  -4.17887
  -3.58109
  -3.22356
  -4.74867
  -4.83633
  -4.22537
  -4.03913
  -3.93890
  -3.28828
  -3.88303
  -3.20496
  -4.05034
  -3.51358
  -2.98830
  -3.82007
Metropolis acceptance rate for gamma = 0.25692



MCMCoprobit iteration 100001 of 1050000 
beta = 
   3.86507
   0.13766
   3.80453
  -0.84358
   1.27599
   0.98304
   0.69953
  -1.55757
   1.65938
   1.41408
  -0.19185
   1.18856
  -0.30379
  -0.56418
  -0.04013
   1.63568
   0.07341
  -1.36998
   0.85690
   0.26869
   0.62599
   1.27875
   1.72537
   0.25177
  -3.64411
  -2.84979
  -3.29885
  -3.03973
  -1.24150
  -2.68270
  -4.25401
  -3.30230
  -3.97535
  -3.74438
  -3.18355
  -2.44960
  -4.09641
  -4.48985
  -3.59325
  -3.55436
  -3.07620
  -3.38736
  -3.80126
  -2.77746
  -3.81179
  -3.02464
  -2.49432
  -3.36301
Metropolis acceptance rate for gamma = 0.25647



MCMCoprobit iteration 110001 of 1050000 
beta = 
   3.71262
   0.77813
   3.39104
  -0.51732
   1.33346
   1.92060
   1.25022
  -1.34610
   1.56820
   1.42455
  -0.32250
   1.45602
  -0.27953
  -0.74285
   1.07365
   1.93358
   0.82171
  -1.11123
   0.89256
   0.31026
   0.86856
   1.88520
   2.24627
   0.26516
  -3.47290
  -2.58321
  -3.35841
  -3.78048
  -1.10317
  -2.03988
  -4.12903
  -3.81856
  -4.16024
  -3.48338
  -3.24568
  -2.62981
  -4.02711
  -3.79819
  -3.61681
  -3.10868
  -3.07028
  -2.83137
  -3.20190
  -2.23963
  -4.01741
  -2.69428
  -2.38959
  -3.00647
Metropolis acceptance rate for gamma = 0.25685



MCMCoprobit iteration 120001 of 1050000 
beta = 
   3.17546
   0.54270
   4.64182
   0.04103
   1.45827
   1.83619
   1.38324
  -0.97126
   2.08761
   1.66531
   0.63544
   1.64756
   0.35948
   0.02694
   0.39354
   1.93640
   1.05025
  -0.56628
   1.24323
   0.86728
   1.25448
   1.92709
   2.44448
   0.92738
  -3.07438
  -1.83189
  -2.16404
  -2.65621
  -0.92672
  -1.65242
  -3.33330
  -2.83952
  -2.75768
  -3.38406
  -2.29570
  -2.29085
  -3.81090
  -3.13498
  -3.30222
  -3.45367
  -2.48665
  -2.26421
  -2.88408
  -1.77756
  -3.31690
  -2.10783
  -1.94813
  -2.55335
Metropolis acceptance rate for gamma = 0.25663



MCMCoprobit iteration 130001 of 1050000 
beta = 
   4.09871
  -0.48892
   3.44122
  -1.42488
   0.71962
   0.70384
   0.63495
  -1.86911
   1.49580
   1.02704
  -1.05779
   0.78318
  -1.10032
  -0.94298
  -0.11928
   2.17093
   0.05783
  -1.51291
   0.51491
  -0.20185
   0.54137
   1.58753
   1.60374
  -0.26414
  -3.99057
  -2.93701
  -3.15804
  -4.09781
  -2.33166
  -2.80790
  -4.52671
  -3.89530
  -4.30344
  -4.34565
  -3.65559
  -2.46849
  -4.34928
  -4.09910
  -3.83277
  -3.71657
  -3.45538
  -3.07391
  -4.00865
  -3.04016
  -4.52102
  -3.45266
  -2.75555
  -3.30275
Metropolis acceptance rate for gamma = 0.25654



MCMCoprobit iteration 140001 of 1050000 
beta = 
   3.56142
   0.54755
   3.40419
  -0.64733
   1.42680
   1.75271
   0.92550
  -1.42779
   1.20232
   1.44987
  -0.11157
   1.40155
  -0.57705
  -0.19002
   0.44041
   2.06902
   1.13026
  -1.56794
   0.91434
   0.34097
   1.25583
   2.00364
   1.74084
   0.62329
  -3.57881
  -2.12837
  -2.82610
  -3.32672
  -1.36425
  -3.14913
  -4.01311
  -3.34369
  -3.51477
  -3.42507
  -3.37329
  -2.75294
  -3.24015
  -3.51481
  -3.44086
  -3.13519
  -3.02089
  -2.40676
  -3.26452
  -1.90327
  -3.90597
  -2.68321
  -2.28700
  -3.21422
Metropolis acceptance rate for gamma = 0.25657



MCMCoprobit iteration 150001 of 1050000 
beta = 
   3.72185
   0.37911
   3.53718
  -0.64817
   0.77879
   1.25355
   1.08161
  -1.24707
   1.59849
   1.42118
  -0.26652
   1.60559
  -0.47236
  -0.26806
   0.54415
   2.14101
   0.38628
  -1.60729
   0.17327
   0.59866
   1.14582
   1.68453
   2.08980
   0.08157
  -3.53384
  -2.19417
  -2.80019
  -3.41595
  -1.27023
  -2.61247
  -4.51373
  -3.18148
  -3.63489
  -4.13533
  -3.04168
  -2.50556
  -4.24134
  -4.22321
  -3.23798
  -3.87237
  -3.01686
  -3.72738
  -3.50134
  -2.46586
  -4.05142
  -2.77775
  -2.55363
  -3.15405
Metropolis acceptance rate for gamma = 0.25680



MCMCoprobit iteration 160001 of 1050000 
beta = 
   3.88295
   0.36645
   3.48762
  -0.81363
   1.23068
   1.38787
   0.52953
  -1.25514
   1.17578
   1.19571
  -0.86079
   0.85848
  -0.77471
  -0.50861
   0.12336
   1.62791
   0.13410
  -1.55312
   0.29153
  -0.01172
   0.97091
   1.36643
   1.92048
  -0.07256
  -3.86896
  -2.25379
  -2.96729
  -3.49074
  -1.61258
  -2.81460
  -4.10850
  -3.64568
  -4.09240
  -3.97761
  -3.31587
  -2.54694
  -4.29043
  -4.64988
  -3.34997
  -3.56226
  -2.90341
  -2.90658
  -3.48931
  -2.32721
  -4.12877
  -3.09662
  -2.57270
  -3.03110
Metropolis acceptance rate for gamma = 0.25697



MCMCoprobit iteration 170001 of 1050000 
beta = 
   4.05217
  -0.04339
   4.02403
  -0.54395
   1.53172
   1.33623
   0.70714
  -1.35633
   1.54332
   1.77976
  -0.22437
   1.39737
  -0.85989
  -0.56207
  -0.00411
   1.96257
   0.28669
  -1.58717
   0.90283
   0.11390
   0.66995
   1.90512
   2.23500
   0.65859
  -3.99846
  -2.61571
  -3.36709
  -3.69955
  -1.75577
  -2.65190
  -4.05122
  -3.46394
  -4.65899
  -4.23429
  -3.24981
  -2.39228
  -4.61636
  -4.16723
  -3.94850
  -3.45663
  -3.29408
  -3.35229
  -3.56176
  -3.07515
  -4.29150
  -2.94811
  -2.62590
  -3.20770
Metropolis acceptance rate for gamma = 0.25697



MCMCoprobit iteration 180001 of 1050000 
beta = 
   3.90070
   0.21296
   3.58324
  -0.79747
   0.82126
   1.01582
   0.60019
  -1.23927
   1.31970
   1.54003
  -0.07640
   1.08328
  -0.54267
  -0.45362
   0.22270
   1.62786
   0.70492
  -1.41440
   0.39173
   0.05877
   0.68970
   1.28509
   1.74314
  -0.09981
  -3.48566
  -2.96839
  -3.37133
  -3.90063
  -1.71881
  -2.38549
  -3.92939
  -3.81196
  -3.69529
  -3.79409
  -2.95786
  -2.33492
  -4.58154
  -4.37809
  -3.45461
  -4.05274
  -3.22514
  -3.17048
  -3.56988
  -2.74454
  -3.80275
  -3.17703
  -2.66885
  -3.28754
Metropolis acceptance rate for gamma = 0.25730



MCMCoprobit iteration 190001 of 1050000 
beta = 
   3.82150
   0.51058
   3.50596
  -0.73220
   1.08181
   1.43944
   0.48645
  -1.57373
   0.92711
   1.14615
  -0.41010
   1.16367
  -0.62706
  -0.37131
  -0.32751
   1.38642
   0.29215
  -1.21097
   0.52417
   0.05624
   0.79527
   1.57053
   2.24225
  -0.08972
  -2.89654
  -2.66251
  -3.01903
  -3.38246
  -1.48392
  -2.77783
  -4.38667
  -3.00175
  -4.04810
  -3.48539
  -3.56503
  -2.94237
  -3.93572
  -4.57623
  -3.49201
  -3.73517
  -2.93019
  -3.07596
  -3.79694
  -2.50402
  -3.86754
  -3.03045
  -2.48702
  -3.67284
Metropolis acceptance rate for gamma = 0.25750



MCMCoprobit iteration 200001 of 1050000 
beta = 
   4.13466
   0.02184
   3.59557
  -1.02133
   0.47056
   0.96505
   0.57702
  -1.44005
   0.56035
   1.32008
  -0.81710
   1.33432
  -0.63914
  -0.50319
   0.03519
   1.31345
  -0.03820
  -1.49428
  -0.00409
   0.08435
   0.58917
   1.44322
   1.50026
   0.06924
  -4.54322
  -2.75523
  -3.47646
  -3.89324
  -2.10509
  -3.12981
  -4.99449
  -3.57075
  -4.11214
  -4.67798
  -3.39854
  -2.63850
  -4.50159
  -4.37300
  -3.70716
  -3.56757
  -3.13624
  -3.73223
  -3.45498
  -3.33122
  -4.54654
  -3.32697
  -2.79722
  -3.81559
Metropolis acceptance rate for gamma = 0.25732



MCMCoprobit iteration 210001 of 1050000 
beta = 
   3.75479
   0.23045
   4.02916
  -0.89311
   1.34706
   1.26630
   1.18505
  -1.45978
   1.09624
   1.68740
   0.67327
   1.39600
  -0.33349
  -0.11759
   0.20152
   1.88901
   0.46025
  -1.22133
   0.64057
   0.82719
   1.40228
   1.60908
   2.52699
   0.34191
  -3.99451
  -2.82803
  -2.60429
  -3.43254
  -1.50968
  -2.79934
  -4.01237
  -3.94902
  -4.01884
  -3.51018
  -2.61778
  -2.68461
  -3.82986
  -4.44842
  -3.48062
  -3.44161
  -2.95911
  -2.95207
  -3.69045
  -2.27615
  -4.17288
  -2.77033
  -2.39376
  -3.31962
Metropolis acceptance rate for gamma = 0.25705



MCMCoprobit iteration 220001 of 1050000 
beta = 
   4.02509
   0.10511
   3.22366
  -0.46562
   0.87613
   1.11171
   0.59670
  -1.22309
   1.00923
   1.16877
  -0.46560
   1.49771
  -0.59521
  -0.64362
   0.15548
   1.71052
   0.35203
  -1.59833
   0.78989
  -0.40035
   0.69779
   1.40409
   1.91153
   0.41138
  -3.87096
  -2.70273
  -3.34175
  -3.63718
  -1.54350
  -2.66554
  -4.59493
  -3.75285
  -4.11213
  -4.19518
  -3.21884
  -3.05167
  -4.46764
  -4.89169
  -3.84313
  -3.93211
  -3.19195
  -3.29713
  -3.50142
  -3.05267
  -4.65673
  -3.45120
  -2.78252
  -3.17273
Metropolis acceptance rate for gamma = 0.25719



MCMCoprobit iteration 230001 of 1050000 
beta = 
   4.32537
   0.12475
   3.92840
  -0.97320
   0.34413
   0.93949
   0.48189
  -1.58027
   1.12091
   1.25959
  -0.11261
   0.67125
  -0.90119
  -0.77269
   0.55511
   2.44985
   0.06967
  -1.60572
   0.18347
   0.42260
   1.07863
   1.82047
   1.69091
   0.20825
  -4.03744
  -2.85973
  -3.30658
  -3.94648
  -1.54709
  -2.87641
  -4.24339
  -3.78823
  -4.43603
  -4.11103
  -3.33366
  -3.22081
  -5.19953
  -4.57569
  -3.92493
  -4.32608
  -3.89046
  -3.57996
  -3.85803
  -3.14958
  -4.75604
  -3.62160
  -2.91576
  -3.62440
Metropolis acceptance rate for gamma = 0.25699



MCMCoprobit iteration 240001 of 1050000 
beta = 
   3.65898
   0.37915
   3.61021
  -0.47856
   1.23364
   1.67264
   0.62307
  -1.24910
   1.30597
   1.21398
   0.32658
   1.30004
  -0.49612
  -0.68971
   0.35971
   1.76143
   0.60537
  -1.50365
   0.64135
   0.68510
   1.04521
   1.83520
   2.24602
   0.39054
  -3.34871
  -2.44307
  -2.85627
  -3.39239
  -1.73931
  -2.72521
  -4.43070
  -3.47988
  -3.77173
  -3.37037
  -3.35229
  -2.18438
  -4.30355
  -3.79247
  -3.44387
  -3.69975
  -3.32311
  -2.94613
  -3.28342
  -2.44442
  -3.90864
  -2.95703
  -2.34944
  -3.50725
Metropolis acceptance rate for gamma = 0.25699



MCMCoprobit iteration 250001 of 1050000 
beta = 
   4.29311
   0.02553
   3.48118
  -0.95502
   1.02422
   1.11293
   0.43675
  -1.56037
   1.06210
   0.82023
  -0.60956
   0.85187
  -1.01997
  -1.25414
  -0.17259
   1.09467
   0.13298
  -1.70903
  -0.19832
  -0.06559
   0.43220
   1.23864
   1.56196
  -0.00465
  -4.30341
  -3.06892
  -3.28673
  -4.23398
  -1.83674
  -3.02377
  -4.52723
  -4.04632
  -3.81229
  -4.69102
  -3.21036
  -3.05161
  -4.71950
  -4.62495
  -4.28311
  -4.28526
  -3.74743
  -3.45815
  -3.83463
  -3.37515
  -4.63787
  -3.80730
  -2.77377
  -3.51462
Metropolis acceptance rate for gamma = 0.25722



MCMCoprobit iteration 260001 of 1050000 
beta = 
   3.87827
   0.54002
   3.39487
  -0.84672
   1.42631
   1.42468
   0.81708
  -1.09403
   1.39654
   1.58622
  -0.18551
   1.37845
  -0.32469
  -0.09958
   0.41033
   1.98905
   0.66656
  -1.44208
   0.72470
   0.40442
   0.82839
   1.77136
   1.84112
   0.45322
  -3.68720
  -2.45876
  -2.83313
  -3.86899
  -1.44033
  -2.62978
  -4.33528
  -3.41341
  -3.92044
  -3.63878
  -3.35976
  -2.44151
  -4.22176
  -4.73084
  -3.36392
  -3.96399
  -2.99117
  -2.73737
  -3.80880
  -2.51869
  -4.20247
  -3.31249
  -2.27041
  -2.90258
Metropolis acceptance rate for gamma = 0.25780



MCMCoprobit iteration 270001 of 1050000 
beta = 
   4.06374
   0.16615
   3.04161
  -1.13563
   1.14022
   1.25082
   0.49432
  -1.60723
   0.94974
   1.12832
  -0.37740
   0.75530
  -1.03773
  -0.96823
  -0.03945
   1.62718
  -0.10253
  -1.68635
   0.15626
  -0.45882
   0.47385
   1.24632
   1.71910
   0.11583
  -3.80425
  -2.74932
  -3.26529
  -3.52892
  -1.73034
  -2.64408
  -4.68137
  -3.83736
  -3.85566
  -3.86236
  -3.27528
  -2.94910
  -4.46361
  -4.00149
  -4.18939
  -3.66366
  -3.35050
  -3.18393
  -3.36157
  -2.99600
  -4.33815
  -3.53353
  -2.48770
  -3.28996
Metropolis acceptance rate for gamma = 0.25774



MCMCoprobit iteration 280001 of 1050000 
beta = 
   3.75152
   0.75527
   3.79566
  -0.69929
   1.37779
   1.69458
   0.84286
  -1.01103
   1.94159
   1.70072
   0.06192
   1.19097
  -0.54058
  -0.58347
   0.83267
   2.09330
   0.67662
  -1.23276
   0.69117
   0.46861
   1.62765
   1.87256
   2.31622
   0.63457
  -3.15906
  -2.51228
  -3.35463
  -3.04307
  -1.04837
  -2.34556
  -4.10074
  -3.39596
  -4.53496
  -4.31554
  -3.71374
  -2.40664
  -4.56652
  -3.69989
  -2.93173
  -3.66903
  -3.01620
  -3.05618
  -3.30587
  -2.46302
  -4.47162
  -3.30448
  -2.00494
  -3.07416
Metropolis acceptance rate for gamma = 0.25801



MCMCoprobit iteration 290001 of 1050000 
beta = 
   4.22680
  -0.09600
   3.16626
  -1.63850
   0.92044
   0.95271
   0.45838
  -1.48859
   1.06732
   1.29622
  -0.41600
   0.49755
  -0.76287
  -0.81265
  -0.10268
   1.56150
  -0.04945
  -1.98061
   0.14660
  -0.39250
   0.25180
   1.08506
   1.53737
   0.16353
  -3.76058
  -2.95140
  -3.48813
  -3.87567
  -1.70334
  -3.00639
  -4.50498
  -4.27885
  -4.10512
  -4.09669
  -3.63239
  -3.44106
  -4.83577
  -4.66943
  -4.02058
  -3.80442
  -3.61423
  -3.24261
  -3.61059
  -2.79545
  -4.33823
  -3.68465
  -3.05323
  -3.81346
Metropolis acceptance rate for gamma = 0.25781



MCMCoprobit iteration 300001 of 1050000 
beta = 
   3.59595
   0.58527
   3.54976
  -0.45885
   1.42247
   1.16670
   0.78004
  -0.84363
   1.70676
   1.41975
   0.11375
   1.26485
  -0.69654
  -0.29611
   0.50510
   2.21769
   0.48907
  -1.04478
   1.05645
   0.75383
   1.16374
   1.26000
   2.32649
   0.50586
  -3.55652
  -2.04842
  -2.92814
  -3.05480
  -1.66075
  -2.40027
  -3.87907
  -3.53216
  -3.32940
  -3.91053
  -2.68630
  -2.19174
  -3.61983
  -4.05545
  -3.23921
  -3.19566
  -2.84959
  -2.46922
  -3.24709
  -2.17585
  -3.93261
  -2.72243
  -2.07866
  -3.14399
Metropolis acceptance rate for gamma = 0.25752



MCMCoprobit iteration 310001 of 1050000 
beta = 
   3.59109
   0.33130
   3.95374
  -0.49264
   1.20136
   1.13766
   0.93293
  -1.26174
   1.50554
   1.72470
   0.23101
   1.60249
   0.11413
   0.07055
   0.63407
   2.07886
   0.53197
  -1.06918
   0.87715
   0.13500
   1.30481
   2.07898
   2.30722
   1.03215
  -3.58870
  -2.19654
  -3.28156
  -3.86299
  -1.19575
  -2.70810
  -3.93047
  -3.44140
  -4.09892
  -4.09439
  -2.91608
  -2.91564
  -4.27047
  -3.72594
  -3.37767
  -3.27539
  -3.25674
  -2.83350
  -3.40565
  -2.67804
  -3.63721
  -2.83685
  -2.43456
  -2.56473
Metropolis acceptance rate for gamma = 0.25767



MCMCoprobit iteration 320001 of 1050000 
beta = 
   3.94530
   0.49614
   3.88400
  -1.00105
   0.84137
   1.31191
   0.30467
  -1.11705
   1.24587
   1.07401
  -0.18260
   1.23836
  -0.35748
  -0.71470
   0.30723
   1.97225
  -0.08487
  -1.48657
   0.68292
   0.39566
   1.29599
   1.57066
   1.98224
   0.06015
  -4.28505
  -2.72288
  -2.92370
  -3.80731
  -1.64566
  -2.60311
  -3.97647
  -3.76915
  -3.64143
  -4.32144
  -3.53910
  -2.37185
  -3.84057
  -4.54652
  -3.39570
  -3.90192
  -3.26346
  -3.06359
  -3.36577
  -2.27776
  -3.88348
  -2.89092
  -2.30248
  -3.39662
Metropolis acceptance rate for gamma = 0.25728



MCMCoprobit iteration 330001 of 1050000 
beta = 
   3.89333
   0.27371
   3.27450
  -1.07132
   1.24657
   1.51567
   0.80665
  -1.05507
   1.95977
   1.26471
  -0.52248
   1.30208
  -0.75977
  -0.52338
   0.09976
   2.13700
   0.50275
  -1.56417
  -0.00276
   0.46344
   1.36600
   1.38055
   1.99127
   0.52139
  -3.75667
  -2.28971
  -3.30531
  -3.46140
  -1.15524
  -2.62672
  -4.65433
  -3.96595
  -4.07994
  -4.00585
  -3.27716
  -2.72418
  -4.64267
  -3.67649
  -3.39726
  -3.28818
  -3.50929
  -3.01829
  -3.58361
  -2.63357
  -3.81677
  -2.96944
  -2.41552
  -3.07950
Metropolis acceptance rate for gamma = 0.25730



MCMCoprobit iteration 340001 of 1050000 
beta = 
   4.07543
  -0.24022
   3.14418
  -1.39111
   0.65824
   0.77373
  -0.08143
  -1.87926
   0.65895
   0.96168
  -0.70986
   0.76329
  -1.26130
  -0.56940
  -0.25588
   2.00196
  -0.26081
  -1.70672
   0.29506
   0.02444
   0.76781
   1.00119
   1.33555
   0.04717
  -4.57141
  -2.71330
  -3.13644
  -3.63973
  -1.73142
  -3.10389
  -4.07336
  -3.57852
  -4.43159
  -4.55080
  -3.48681
  -2.87800
  -4.40384
  -4.22690
  -3.77569
  -3.41982
  -3.28152
  -3.60164
  -3.74284
  -3.14543
  -4.37111
  -3.23432
  -2.80579
  -4.17507
Metropolis acceptance rate for gamma = 0.25698



MCMCoprobit iteration 350001 of 1050000 
beta = 
   3.79229
   0.39642
   3.73308
  -0.85379
   1.49317
   1.30394
   0.87497
  -1.21094
   1.33609
   1.78215
  -0.15357
   1.26775
  -0.40855
  -0.84312
   0.24220
   2.34239
   0.20690
  -0.88944
   0.46334
   0.51679
   1.01056
   1.81231
   1.77503
   0.44477
  -3.84577
  -2.54474
  -2.95527
  -3.43958
  -1.46037
  -2.70799
  -3.97421
  -3.18735
  -4.04012
  -3.96130
  -2.91335
  -2.59449
  -4.64453
  -4.03048
  -3.38714
  -3.77175
  -3.22552
  -2.90656
  -3.55392
  -2.92540
  -4.00296
  -2.51205
  -2.48608
  -3.34285
Metropolis acceptance rate for gamma = 0.25675



MCMCoprobit iteration 360001 of 1050000 
beta = 
   4.07478
   0.02337
   3.20196
  -1.37552
   0.64985
   1.00600
   0.69743
  -1.66795
   1.09597
   0.95912
  -0.48057
   0.76022
  -0.69389
  -0.39828
  -0.15295
   1.64233
   0.20169
  -1.65567
   0.05990
   0.08984
   0.43904
   1.05929
   1.48508
   0.10338
  -3.66820
  -2.73724
  -3.48316
  -3.70549
  -1.59633
  -2.86073
  -4.76323
  -4.01753
  -3.96167
  -4.14350
  -3.75106
  -2.53332
  -4.01798
  -3.67882
  -3.66344
  -3.76527
  -3.22978
  -3.03652
  -3.55287
  -3.02355
  -4.51489
  -3.05447
  -2.47837
  -3.42458
Metropolis acceptance rate for gamma = 0.25656



MCMCoprobit iteration 370001 of 1050000 
beta = 
   3.74398
  -0.04885
   3.78424
  -0.90168
   0.87961
   1.28045
   0.93046
  -1.49224
   1.58555
   1.15544
  -0.03744
   0.97271
  -0.23762
  -0.27191
   0.48451
   1.85506
   0.48475
  -1.45913
   0.49023
   0.57792
   0.99262
   1.69304
   1.59401
   0.16085
  -3.99420
  -2.46156
  -3.25144
  -3.09208
  -1.73860
  -2.56196
  -3.94152
  -3.45359
  -3.35100
  -3.81681
  -3.69884
  -2.17507
  -3.89334
  -4.19435
  -3.39500
  -3.54123
  -2.97861
  -3.09068
  -3.48036
  -2.53569
  -4.41824
  -2.84947
  -2.35524
  -3.32285
Metropolis acceptance rate for gamma = 0.25632



MCMCoprobit iteration 380001 of 1050000 
beta = 
   3.69658
   0.40338
   3.36888
  -0.97477
   0.94835
   1.26596
   0.77410
  -1.39408
   1.90869
   1.45750
  -0.11759
   1.14612
   0.11916
  -0.43546
   0.12819
   1.67680
   0.39254
  -1.28552
   1.05528
   0.59203
   0.63669
   1.70821
   2.00438
   0.32705
  -3.25332
  -2.47057
  -3.12558
  -3.35681
  -1.37162
  -3.00039
  -4.35518
  -3.60920
  -3.81392
  -3.73384
  -2.85320
  -2.63418
  -4.58215
  -3.90236
  -3.66421
  -3.52707
  -3.00795
  -3.14517
  -3.30838
  -2.79207
  -4.08223
  -3.05794
  -2.09477
  -3.11193
Metropolis acceptance rate for gamma = 0.25638



MCMCoprobit iteration 390001 of 1050000 
beta = 
   4.21718
   0.09805
   3.31367
  -1.02742
   1.21071
   1.56896
   0.73655
  -1.27463
   1.08082
   1.47629
  -0.18147
   0.98613
  -0.18928
  -0.50238
   0.27803
   1.77390
   0.94878
  -1.35723
   0.89718
   0.26882
   0.37998
   1.47103
   1.87714
   0.31373
  -3.85084
  -2.78941
  -3.28742
  -3.64534
  -1.67589
  -2.93774
  -4.69861
  -3.90993
  -3.90606
  -4.34657
  -3.36347
  -2.91009
  -4.72439
  -4.51071
  -3.96340
  -3.65270
  -3.76516
  -3.14199
  -4.00436
  -2.53238
  -4.74497
  -3.49057
  -2.25974
  -3.76124
Metropolis acceptance rate for gamma = 0.25663



MCMCoprobit iteration 400001 of 1050000 
beta = 
   4.01212
   0.24359
   3.95912
  -0.94534
   1.41137
   1.70121
   0.52848
  -0.93337
   1.47367
   1.37945
  -0.21534
   1.56134
  -0.62047
  -0.53835
   0.18626
   1.81751
  -0.06132
  -1.48978
   0.19076
   0.28670
   0.59216
   1.72325
   1.69662
  -0.10934
  -3.90472
  -2.95432
  -3.24829
  -3.64396
  -1.65369
  -3.24892
  -4.69871
  -3.81794
  -4.52554
  -4.32184
  -3.41513
  -2.57647
  -4.22699
  -4.21344
  -3.85605
  -3.48733
  -2.90505
  -3.21462
  -3.85801
  -2.42601
  -4.06531
  -3.21790
  -2.49526
  -3.28424
Metropolis acceptance rate for gamma = 0.25661



MCMCoprobit iteration 410001 of 1050000 
beta = 
   3.70174
   0.53946
   3.86043
  -0.89720
   0.99445
   1.54391
   0.61570
  -1.02764
   1.50421
   1.95491
  -0.05342
   1.25832
  -0.55559
  -0.39771
   0.66323
   1.82344
   0.48036
  -1.16993
   0.28589
   0.65840
   1.33898
   1.56348
   2.05658
   0.53203
  -3.39449
  -2.54286
  -2.81234
  -3.50578
  -1.46012
  -2.57629
  -4.13414
  -3.43541
  -4.02640
  -3.88105
  -3.10342
  -2.41446
  -4.11096
  -3.75575
  -3.58072
  -3.58436
  -2.93274
  -2.75573
  -3.44769
  -2.59652
  -3.88598
  -3.09428
  -2.26563
  -3.03624
Metropolis acceptance rate for gamma = 0.25693



MCMCoprobit iteration 420001 of 1050000 
beta = 
   3.58236
   0.33835
   4.29639
  -0.40025
   1.80431
   2.01705
   1.21055
  -0.71000
   1.75014
   1.78266
   0.62547
   1.65454
  -0.31620
  -0.10435
   0.93035
   2.38880
   0.86348
  -1.02597
   1.21107
   0.61034
   1.75204
   2.27791
   2.66199
   0.90425
  -3.34763
  -2.09562
  -2.94034
  -3.17234
  -1.18043
  -2.11256
  -3.90447
  -3.63375
  -3.50312
  -3.58057
  -2.84404
  -2.27626
  -3.84487
  -3.89429
  -3.32005
  -3.11900
  -2.92278
  -3.03683
  -2.78852
  -2.57417
  -3.77990
  -2.87336
  -2.23470
  -3.05438
Metropolis acceptance rate for gamma = 0.25706



MCMCoprobit iteration 430001 of 1050000 
beta = 
   3.85902
   0.51204
   3.89873
  -0.70615
   0.79668
   1.16819
   0.93675
  -1.07252
   1.21887
   1.16143
  -0.22349
   1.25127
  -0.60346
  -0.81576
   0.39231
   1.53471
   0.82723
  -1.20217
   0.93415
  -0.06203
   0.92948
   1.84855
   1.53595
   0.37420
  -3.53356
  -2.70981
  -3.53856
  -3.62669
  -1.45146
  -2.48979
  -4.14344
  -3.55059
  -3.41211
  -3.87181
  -2.57254
  -2.76534
  -4.10086
  -4.00691
  -3.39093
  -3.52278
  -3.30694
  -3.30722
  -3.16872
  -3.01911
  -4.53464
  -3.47812
  -2.46480
  -3.16476
Metropolis acceptance rate for gamma = 0.25701



MCMCoprobit iteration 440001 of 1050000 
beta = 
   3.72601
   0.04046
   3.45884
  -0.81873
   0.68338
   1.07530
   0.37373
  -1.31730
   1.22148
   1.29488
   0.10147
   1.64511
  -0.53473
  -0.31163
   0.33579
   1.64671
   0.18379
  -1.22700
   0.57448
   0.03766
   0.79245
   1.07622
   1.55734
  -0.25087
  -3.86023
  -2.82510
  -2.65035
  -3.19825
  -1.46092
  -2.90894
  -4.03375
  -3.36203
  -3.47854
  -3.73216
  -2.92695
  -2.18469
  -4.13706
  -3.99332
  -3.55512
  -2.98037
  -2.91871
  -3.28063
  -2.89371
  -2.49125
  -4.36439
  -3.21420
  -2.05832
  -3.50346
Metropolis acceptance rate for gamma = 0.25714



MCMCoprobit iteration 450001 of 1050000 
beta = 
   4.28556
  -0.32255
   3.60885
  -1.16575
   0.74132
   1.40286
   0.36991
  -1.42091
   1.59948
   1.16359
  -0.31908
   1.04172
  -1.05057
  -1.03142
  -0.27385
   1.79976
  -0.33950
  -2.08820
  -0.08317
  -0.39913
   0.13330
   1.41818
   1.74340
   0.64106
  -4.69885
  -2.97963
  -3.68744
  -4.49677
  -1.96213
  -3.14603
  -4.30669
  -4.34607
  -4.02420
  -4.73002
  -3.39293
  -3.10417
  -4.58096
  -4.80771
  -3.89104
  -4.08379
  -3.51351
  -3.54631
  -3.91850
  -2.81090
  -4.87744
  -3.48587
  -2.72066
  -3.59213
Metropolis acceptance rate for gamma = 0.25717



MCMCoprobit iteration 460001 of 1050000 
beta = 
   3.87532
  -0.11926
   2.95031
  -0.84502
   0.78929
   0.57173
   0.34019
  -1.59521
   0.52301
   1.12244
  -0.75866
   0.86269
  -1.00086
  -0.56228
  -0.10930
   1.49338
  -0.12905
  -1.25234
   0.39944
  -0.14733
   0.73638
   1.55063
   1.44599
  -0.22423
  -3.75737
  -2.71991
  -2.58062
  -3.65608
  -1.40662
  -2.26328
  -4.04987
  -3.30499
  -4.40039
  -4.04146
  -3.12016
  -3.04065
  -4.80376
  -3.78174
  -3.70587
  -3.31678
  -3.18950
  -2.88884
  -3.28850
  -3.20706
  -4.01381
  -3.34201
  -2.85964
  -3.11466
Metropolis acceptance rate for gamma = 0.25726



MCMCoprobit iteration 470001 of 1050000 
beta = 
   3.89517
   0.28318
   4.06719
  -0.48561
   0.73437
   1.32190
   0.75569
  -1.33149
   1.07803
   1.16265
  -0.36634
   1.00559
  -0.18648
  -0.80863
   0.33048
   1.34711
   0.11721
  -0.88400
   0.31291
   0.38504
   1.22162
   1.57671
   1.82450
   0.07039
  -3.98552
  -2.38322
  -3.07842
  -3.07403
  -1.52964
  -2.86734
  -4.03087
  -3.73098
  -4.36497
  -4.07668
  -3.38691
  -2.62680
  -3.74576
  -4.14254
  -3.59160
  -3.84756
  -3.05660
  -3.39374
  -3.39409
  -2.70257
  -3.96081
  -2.79872
  -2.50012
  -3.39404
Metropolis acceptance rate for gamma = 0.25699



MCMCoprobit iteration 480001 of 1050000 
beta = 
   4.26444
  -0.11339
   3.29953
  -1.54177
   1.25128
   0.90297
   0.78327
  -1.72405
   0.98497
   1.30443
  -0.27776
   0.90671
  -1.15451
  -0.78160
   0.47521
   1.29942
  -0.01981
  -1.81712
   0.31095
  -0.15623
   0.81391
   1.57609
   1.79576
  -0.45872
  -4.28467
  -2.89364
  -3.26713
  -3.62855
  -1.67637
  -2.65643
  -4.64883
  -3.30014
  -3.97787
  -4.83216
  -3.71528
  -3.21709
  -4.80470
  -4.24091
  -3.42281
  -3.97046
  -3.39874
  -3.69980
  -3.81958
  -2.89173
  -4.17409
  -3.20651
  -2.89110
  -3.32507
Metropolis acceptance rate for gamma = 0.25699



MCMCoprobit iteration 490001 of 1050000 
beta = 
   4.10360
   0.12252
   3.40589
  -0.89353
   1.01643
   1.37441
   1.24033
  -1.36130
   1.39013
   1.23185
   0.01463
   1.79525
  -0.22121
  -0.50950
  -0.07244
   1.45376
   0.20614
  -1.18585
   0.57340
   0.07208
   0.98258
   1.40714
   2.20695
   0.10771
  -4.09903
  -2.70057
  -3.69519
  -3.26785
  -1.79842
  -2.91503
  -4.71958
  -3.30523
  -3.78487
  -4.28494
  -3.29561
  -2.85009
  -4.61233
  -4.55039
  -3.95866
  -4.12384
  -3.08654
  -3.31114
  -3.51349
  -3.06119
  -4.94797
  -3.53734
  -2.58816
  -3.72721
Metropolis acceptance rate for gamma = 0.25686



MCMCoprobit iteration 500001 of 1050000 
beta = 
   4.14570
   0.02532
   3.21026
  -1.47461
   0.76199
   0.97413
   0.39760
  -1.96986
   0.93793
   1.14664
  -0.58797
   0.70096
  -0.70006
  -0.76350
   0.02168
   1.63899
   0.18461
  -2.20070
  -0.12525
   0.13190
   0.85114
   1.42399
   1.80850
  -0.50378
  -4.25214
  -2.87993
  -3.57297
  -3.83090
  -1.53931
  -3.07613
  -4.09740
  -4.00265
  -4.57287
  -4.21258
  -3.66841
  -3.47106
  -4.43565
  -4.72086
  -3.51247
  -3.89509
  -3.73127
  -3.47279
  -3.55493
  -3.44452
  -4.11689
  -3.68674
  -3.16990
  -3.50603
Metropolis acceptance rate for gamma = 0.25700



MCMCoprobit iteration 510001 of 1050000 
beta = 
   3.52910
   0.61562
   3.91197
  -0.42991
   1.40909
   1.45800
   0.87919
  -0.78491
   1.18493
   1.20351
  -0.13940
   1.50348
  -0.09530
  -0.39379
   0.56786
   2.01455
   0.60224
  -0.80486
   0.82733
   0.61277
   1.13223
   1.70274
   2.56548
   0.37614
  -4.16457
  -2.44028
  -2.76040
  -3.55807
  -1.24755
  -1.54730
  -4.16569
  -3.37074
  -3.34541
  -3.12750
  -2.92153
  -2.84616
  -4.20508
  -3.72209
  -3.05952
  -3.65162
  -2.77064
  -2.78439
  -3.01723
  -2.31677
  -4.04871
  -3.16229
  -1.74469
  -2.94253
Metropolis acceptance rate for gamma = 0.25700



MCMCoprobit iteration 520001 of 1050000 
beta = 
   4.20395
   0.14300
   3.16054
  -1.06356
   0.82581
   0.84146
   0.52000
  -1.60174
   1.13075
   1.34716
  -0.75615
   1.27731
  -0.79809
  -0.57280
   0.06919
   1.47630
   0.19469
  -1.41115
  -0.19085
  -0.13617
   0.64814
   1.26099
   1.25620
   0.27709
  -3.70469
  -2.63739
  -3.52990
  -3.49039
  -1.64717
  -3.10715
  -4.69634
  -3.65980
  -3.79095
  -4.29775
  -3.27940
  -3.05110
  -4.75965
  -4.56116
  -3.93077
  -4.04785
  -3.37615
  -3.50330
  -3.85070
  -3.46852
  -4.51153
  -3.66458
  -3.20508
  -3.77739
Metropolis acceptance rate for gamma = 0.25715



MCMCoprobit iteration 530001 of 1050000 
beta = 
   3.65452
   0.58455
   3.66332
  -1.15259
   1.44255
   1.23091
   0.80504
  -0.69300
   1.67713
   1.61952
  -0.00340
   2.05982
  -0.51951
  -0.89976
   0.19023
   2.27930
   0.50425
  -1.14581
   1.14997
   0.32947
   1.37852
   1.73049
   2.28749
   0.37688
  -3.46758
  -2.30461
  -2.94814
  -3.31178
  -1.22314
  -2.56112
  -4.05602
  -3.37057
  -3.92473
  -3.70809
  -3.03759
  -2.47368
  -4.73492
  -4.45680
  -3.20111
  -3.41356
  -3.07417
  -3.01122
  -3.04572
  -2.08665
  -3.37594
  -2.89119
  -2.15023
  -2.97901
Metropolis acceptance rate for gamma = 0.25723



MCMCoprobit iteration 540001 of 1050000 
beta = 
   3.65288
   0.21968
   3.79342
  -0.48819
   1.22867
   0.83090
   0.95160
  -1.30092
   1.05169
   1.97526
  -0.36105
   1.09985
  -0.51272
  -0.42855
   0.50283
   2.12540
   0.58777
  -1.57372
   0.19230
   0.28538
   1.19387
   1.51591
   2.07904
   0.49146
  -3.50618
  -2.31190
  -3.10286
  -3.27090
  -1.56619
  -2.27638
  -3.80316
  -3.68083
  -4.22525
  -3.60757
  -2.82698
  -2.59752
  -4.27609
  -3.66923
  -3.67603
  -3.38863
  -2.56823
  -2.92983
  -3.02949
  -2.44647
  -3.34553
  -2.70026
  -2.67342
  -3.09449
Metropolis acceptance rate for gamma = 0.25716



MCMCoprobit iteration 550001 of 1050000 
beta = 
   4.45036
   0.05190
   3.64171
  -1.25273
   0.61672
   0.86473
   0.11916
  -1.84446
   1.09557
   1.80663
  -0.97060
   0.99818
  -1.06068
  -0.89055
   0.16297
   1.46938
   0.18584
  -1.71118
   0.30422
   0.49388
   0.44181
   1.11423
   1.56744
   0.05353
  -4.39609
  -3.31980
  -3.47679
  -4.06125
  -1.73485
  -3.07691
  -4.77665
  -4.11299
  -4.37531
  -4.64757
  -4.19996
  -3.44013
  -4.61771
  -4.74865
  -4.23265
  -3.67278
  -4.00025
  -3.81045
  -4.01502
  -3.30642
  -4.44082
  -3.94769
  -2.82221
  -3.92874
Metropolis acceptance rate for gamma = 0.25701



MCMCoprobit iteration 560001 of 1050000 
beta = 
   3.83303
   0.38032
   3.47451
  -0.67281
   1.17365
   0.83542
   0.74881
  -1.31863
   1.56358
   0.92680
  -0.43416
   0.80355
  -0.53929
  -0.60272
   0.27795
   1.58364
   0.24156
  -1.11170
   0.79791
   0.26943
   1.05622
   1.73845
   1.59538
   0.25549
  -3.78743
  -2.76513
  -2.90627
  -3.39946
  -1.66975
  -2.66218
  -4.16817
  -3.83963
  -3.51493
  -4.01494
  -3.22107
  -2.48951
  -4.18880
  -4.47231
  -3.81349
  -3.75285
  -2.83917
  -3.33776
  -3.18578
  -2.62871
  -4.17148
  -3.14507
  -2.01004
  -3.18059
Metropolis acceptance rate for gamma = 0.25701



MCMCoprobit iteration 570001 of 1050000 
beta = 
   4.24596
  -0.12878
   2.87569
  -0.99245
   0.82126
   1.22565
   0.36458
  -1.62867
   1.33218
   1.26352
  -0.52886
   1.33801
  -0.59486
  -0.86031
   0.10018
   2.18513
   0.51872
  -1.84118
   0.07443
   0.17467
   0.87162
   1.39222
   2.13305
  -0.18199
  -3.95442
  -2.89340
  -3.62722
  -3.71443
  -2.32697
  -2.98491
  -4.13187
  -3.68349
  -4.41533
  -4.11407
  -3.35634
  -3.58258
  -5.09376
  -4.75095
  -3.41314
  -3.71016
  -3.38619
  -3.39185
  -3.54063
  -3.25366
  -4.46879
  -3.55555
  -2.88192
  -3.95025
Metropolis acceptance rate for gamma = 0.25721



MCMCoprobit iteration 580001 of 1050000 
beta = 
   3.77192
   0.22901
   3.52428
  -0.76432
   0.89226
   1.28485
   0.55100
  -0.91359
   1.62788
   1.28497
  -0.80974
   1.09774
  -0.44012
  -0.94884
   0.42098
   1.86777
   0.05274
  -1.67911
   0.44677
   0.11182
   0.63875
   1.73553
   2.27645
   0.08199
  -3.73575
  -2.02756
  -3.34652
  -3.33920
  -1.70773
  -2.54146
  -4.49233
  -3.40514
  -4.10094
  -3.57266
  -2.54453
  -2.51088
  -4.30428
  -4.33799
  -3.21734
  -3.47109
  -3.27597
  -3.00089
  -3.07595
  -2.74834
  -3.79617
  -3.14876
  -2.55642
  -3.45681
Metropolis acceptance rate for gamma = 0.25733



MCMCoprobit iteration 590001 of 1050000 
beta = 
   3.75095
  -0.04179
   2.80379
  -0.47131
   1.27924
   1.19162
   0.53538
  -1.29155
   1.11038
   1.21463
  -0.24271
   0.75264
  -0.32297
  -0.55573
   0.32278
   1.78235
   0.28950
  -1.37309
   0.30325
  -0.03632
   0.54184
   1.02214
   2.05893
   0.22949
  -3.23631
  -2.46876
  -2.96413
  -3.52978
  -1.69515
  -2.69707
  -3.99813
  -3.63946
  -4.16769
  -3.89544
  -2.58524
  -2.95349
  -4.24543
  -4.32139
  -4.16284
  -3.77074
  -3.37880
  -2.46560
  -3.34740
  -2.37247
  -3.76810
  -3.29977
  -2.27931
  -3.47328
Metropolis acceptance rate for gamma = 0.25733



MCMCoprobit iteration 600001 of 1050000 
beta = 
   4.30613
  -0.21372
   2.95108
  -1.46587
   1.26608
   0.73169
   0.38696
  -1.68561
   1.40376
   1.58412
  -0.57262
   0.76047
  -0.80252
  -0.60852
   0.29540
   1.26096
   0.21576
  -1.69247
  -0.07858
  -0.08377
   0.80711
   1.51826
   1.50280
  -0.07388
  -3.88750
  -2.92920
  -3.54214
  -4.04997
  -1.99757
  -2.86537
  -4.45780
  -4.04421
  -4.57248
  -4.30739
  -3.42536
  -3.43638
  -4.62165
  -4.49344
  -4.19036
  -4.09381
  -3.46145
  -3.17379
  -4.13440
  -3.06442
  -4.35346
  -3.87734
  -2.93315
  -3.45400
Metropolis acceptance rate for gamma = 0.25749



MCMCoprobit iteration 610001 of 1050000 
beta = 
   4.01784
  -0.26716
   3.55584
  -1.21508
   0.88003
   0.95730
   0.37501
  -1.69755
   1.46824
   1.03437
  -0.23778
   1.56578
  -0.61095
  -1.20654
   0.08877
   1.82722
   0.50762
  -1.63719
   0.53526
  -0.06694
   0.50865
   1.27061
   1.84334
   0.28787
  -3.68971
  -2.81562
  -3.45520
  -3.82491
  -1.99151
  -3.13605
  -4.24599
  -3.38644
  -4.07552
  -3.99622
  -3.74101
  -2.66121
  -4.30696
  -4.65460
  -3.88131
  -3.53426
  -3.27569
  -3.44255
  -3.50719
  -2.80968
  -4.19480
  -3.12465
  -2.69081
  -3.54706
Metropolis acceptance rate for gamma = 0.25743



MCMCoprobit iteration 620001 of 1050000 
beta = 
   4.28460
   0.07132
   2.92433
  -0.89008
   1.09616
   0.67895
   0.37438
  -1.76896
   0.85828
   1.14270
  -0.41388
   0.77915
  -1.07184
  -0.54505
  -0.02526
   1.41140
   0.01586
  -1.47378
   0.44720
  -0.12890
   0.78994
   1.42470
   1.42129
  -0.67148
  -4.51450
  -3.05897
  -3.29492
  -4.06986
  -2.08293
  -2.74842
  -4.57146
  -4.01112
  -4.27927
  -4.56396
  -3.90982
  -2.74428
  -5.10616
  -4.46831
  -4.11473
  -4.06997
  -3.38718
  -4.06101
  -4.17544
  -2.90368
  -4.76887
  -3.36942
  -2.68157
  -4.02373
Metropolis acceptance rate for gamma = 0.25774



MCMCoprobit iteration 630001 of 1050000 
beta = 
   3.64987
  -0.13688
   3.51990
  -0.93074
   0.87873
   1.13525
   0.54467
  -1.29973
   1.46462
   1.26616
   0.13323
   0.56029
  -0.64253
  -0.02533
   0.00977
   1.40587
   0.22631
  -1.43957
   0.70938
  -0.03487
   0.62294
   1.48550
   1.40489
   0.33233
  -3.56558
  -2.46925
  -2.78659
  -3.46041
  -1.56286
  -2.25039
  -3.98347
  -3.60318
  -3.51717
  -3.70528
  -3.11167
  -2.52893
  -4.03722
  -4.40960
  -3.22720
  -3.58552
  -2.93300
  -3.05913
  -3.53027
  -2.61067
  -4.16032
  -3.03730
  -2.36519
  -2.96366
Metropolis acceptance rate for gamma = 0.25776



MCMCoprobit iteration 640001 of 1050000 
beta = 
   4.06613
  -0.19220
   3.52822
  -0.82882
   0.88964
   1.38862
   0.46120
  -1.46103
   0.97368
   1.59982
  -0.33409
   0.48992
  -0.63726
  -0.64743
   0.29515
   1.48708
   0.06947
  -1.51774
   0.24537
   0.33748
   0.50494
   1.48831
   1.53249
  -0.03095
  -3.61742
  -2.78847
  -3.11744
  -3.69693
  -1.83130
  -2.79870
  -4.33453
  -3.92564
  -4.50525
  -3.83037
  -3.66425
  -2.97201
  -4.32977
  -4.28277
  -3.92024
  -4.09827
  -3.35041
  -3.39818
  -3.60748
  -3.09904
  -4.43803
  -3.11741
  -2.51384
  -3.97822
Metropolis acceptance rate for gamma = 0.25785



MCMCoprobit iteration 650001 of 1050000 
beta = 
   4.43111
  -0.46313
   2.68787
  -1.32854
   0.66595
   0.70040
   0.47122
  -1.55890
   0.84382
   0.80212
  -0.56507
   0.75731
  -0.95498
  -1.22855
  -0.47549
   1.59339
  -0.12245
  -2.10261
  -0.05741
  -0.22084
   0.40447
   0.88109
   1.38839
  -0.13196
  -4.12013
  -3.27462
  -3.56286
  -4.25980
  -2.44290
  -3.19515
  -4.95456
  -4.32636
  -4.78297
  -4.58091
  -3.70032
  -3.25515
  -4.67628
  -4.83895
  -3.98633
  -4.07744
  -3.30174
  -3.32387
  -4.14913
  -3.36381
  -4.53328
  -3.74447
  -2.74532
  -3.96206
Metropolis acceptance rate for gamma = 0.25777



MCMCoprobit iteration 660001 of 1050000 
beta = 
   4.05001
   0.21551
   3.75525
  -0.96042
   1.34499
   1.05422
   0.62132
  -1.04742
   1.64600
   1.23812
  -0.17905
   1.23251
  -0.29187
  -0.63595
  -0.02602
   2.06645
   0.54773
  -1.58309
   0.09107
  -0.09823
   0.36011
   1.77245
   1.58094
   0.08565
  -3.86848
  -2.76858
  -3.30619
  -3.47097
  -1.27864
  -2.74513
  -4.32448
  -3.58233
  -3.78614
  -3.92660
  -2.88597
  -2.64761
  -4.45923
  -4.74021
  -3.26677
  -4.01492
  -3.65553
  -3.69102
  -3.56676
  -2.71695
  -4.01327
  -3.24140
  -2.54975
  -3.52336
Metropolis acceptance rate for gamma = 0.25773



MCMCoprobit iteration 670001 of 1050000 
beta = 
   3.70525
   0.35133
   4.04949
  -0.55770
   1.16690
   1.56020
   0.92089
  -1.31999
   1.93652
   1.70338
  -0.08305
   1.72525
  -0.69709
  -0.07764
   0.50724
   2.14575
   0.79790
  -1.20890
   0.93631
   0.05905
   0.89133
   1.82721
   2.30324
   0.81936
  -3.52048
  -2.15044
  -3.10141
  -3.63123
  -1.01201
  -2.72859
  -4.01611
  -3.48768
  -3.52011
  -3.60853
  -3.05574
  -2.49861
  -3.66099
  -3.91791
  -3.37311
  -3.13292
  -3.23028
  -2.62083
  -3.26186
  -2.88668
  -3.76044
  -3.08515
  -1.97019
  -3.27808
Metropolis acceptance rate for gamma = 0.25779



MCMCoprobit iteration 680001 of 1050000 
beta = 
   3.85674
   0.14880
   2.94475
  -0.66658
   0.94415
   1.55617
   0.75757
  -0.99288
   1.63959
   1.04861
  -0.25974
   1.03760
  -0.43633
  -0.75055
   0.08279
   1.77886
   0.36123
  -1.55722
   0.87611
   0.11779
   0.49999
   1.59570
   1.65766
   0.13065
  -3.86059
  -2.47526
  -3.16001
  -3.47864
  -1.70174
  -2.63850
  -4.14955
  -3.83672
  -4.39360
  -3.61201
  -2.98240
  -2.39537
  -4.95307
  -3.75185
  -3.90560
  -3.50832
  -2.90956
  -3.66300
  -3.22134
  -2.26857
  -4.03730
  -3.14486
  -2.51120
  -3.33130
Metropolis acceptance rate for gamma = 0.25781



MCMCoprobit iteration 690001 of 1050000 
beta = 
   3.80568
   0.21865
   2.91726
  -0.81802
   0.42465
   0.84660
   0.59586
  -1.30877
   1.60332
   1.02115
  -0.58753
   1.01585
  -0.72305
  -0.26396
   0.59647
   1.88917
   0.02103
  -1.24012
   0.39787
   0.12262
   0.97739
   1.34313
   2.20450
   0.30556
  -3.22727
  -2.40653
  -3.40231
  -3.71864
  -1.91762
  -2.56625
  -4.08375
  -3.77477
  -3.68919
  -4.14642
  -2.93101
  -2.63131
  -4.32009
  -3.76379
  -3.51703
  -2.84412
  -3.49694
  -2.98190
  -3.09771
  -2.82593
  -4.59122
  -3.09085
  -2.38050
  -3.23674
Metropolis acceptance rate for gamma = 0.25780



MCMCoprobit iteration 700001 of 1050000 
beta = 
   4.35488
  -0.52549
   3.19093
  -1.59859
   0.78305
   1.17096
   0.14777
  -1.60903
   0.75131
   0.94872
  -0.50131
   1.52586
  -0.82242
  -1.03202
  -0.10756
   1.60760
  -0.20225
  -1.21901
   0.17297
   0.15300
   0.72336
   1.13200
   1.70750
   0.04069
  -4.40039
  -2.62517
  -3.58099
  -3.60956
  -1.84679
  -3.40872
  -5.00400
  -4.02758
  -4.34532
  -4.65393
  -3.87171
  -2.79187
  -4.90564
  -4.36050
  -3.59285
  -4.05170
  -3.89849
  -3.67194
  -3.98671
  -2.81520
  -4.47799
  -3.27036
  -2.81071
  -3.93219
Metropolis acceptance rate for gamma = 0.25779



MCMCoprobit iteration 710001 of 1050000 
beta = 
   3.92381
   0.00077
   3.45240
  -0.89426
   1.09722
   1.09910
   0.30801
  -1.29818
   1.38248
   1.44709
  -0.76176
   0.86684
  -0.76873
  -0.61068
   0.21061
   1.63984
   0.40933
  -1.31525
   0.07515
  -0.06892
   0.53548
   1.02212
   1.83647
  -0.39868
  -3.50224
  -2.69084
  -3.08735
  -3.77607
  -1.62089
  -2.93396
  -4.28150
  -3.81248
  -4.23403
  -4.10496
  -3.09854
  -2.70875
  -4.93536
  -3.96642
  -3.57173
  -3.73432
  -3.15119
  -2.96578
  -3.63084
  -2.45939
  -4.12212
  -2.90727
  -2.57721
  -3.52363
Metropolis acceptance rate for gamma = 0.25773



MCMCoprobit iteration 720001 of 1050000 
beta = 
   3.91403
  -0.11417
   2.94206
  -1.20991
   0.74841
   1.06665
   0.28358
  -1.04069
   1.43870
   1.28784
  -0.81826
   0.71421
  -0.80148
  -0.76543
  -0.08564
   1.31853
   0.17294
  -1.74761
   0.40716
   0.03370
   0.64319
   1.38146
   2.00036
  -0.26582
  -3.57662
  -2.84050
  -3.25619
  -3.37248
  -1.76643
  -2.99982
  -3.89200
  -3.97557
  -4.23047
  -4.37897
  -3.36706
  -2.69783
  -3.90101
  -4.22697
  -3.55518
  -3.68147
  -3.27294
  -2.92711
  -3.64381
  -2.48705
  -4.20459
  -2.88108
  -2.59689
  -3.25570
Metropolis acceptance rate for gamma = 0.25753



MCMCoprobit iteration 730001 of 1050000 
beta = 
   3.80698
   0.30205
   3.54299
  -0.81094
   1.31883
   1.32232
   0.37436
  -1.48619
   1.33428
   0.93763
  -0.11056
   1.62384
  -0.55570
  -0.18291
   0.56838
   1.67441
   0.06490
  -1.50741
   0.57544
   0.07689
   1.00983
   1.75648
   1.69068
   0.46259
  -3.70915
  -2.09763
  -2.99559
  -3.40853
  -1.28855
  -2.82026
  -4.10141
  -3.29468
  -3.73013
  -4.26098
  -3.13104
  -2.35163
  -4.51494
  -3.97111
  -3.59326
  -3.35268
  -2.89772
  -3.18817
  -3.78964
  -2.86611
  -3.77495
  -3.14755
  -2.58149
  -3.17446
Metropolis acceptance rate for gamma = 0.25747



MCMCoprobit iteration 740001 of 1050000 
beta = 
   4.07735
   0.04958
   3.30540
  -1.02680
   0.69668
   1.47257
   0.75260
  -1.35315
   1.05870
   0.96777
  -0.25751
   1.24596
  -0.68247
  -0.71074
   0.06931
   1.60969
   0.24009
  -1.56895
   0.45692
  -0.00829
   0.53977
   1.39213
   1.86836
  -0.02364
  -3.88479
  -3.16559
  -3.47589
  -3.72438
  -1.20862
  -3.16201
  -4.31213
  -3.96281
  -4.01077
  -4.08594
  -3.27615
  -2.61294
  -4.96419
  -4.60789
  -3.87152
  -3.62576
  -3.20490
  -3.48577
  -4.21529
  -2.68399
  -4.48720
  -3.42553
  -2.36270
  -3.23020
Metropolis acceptance rate for gamma = 0.25750



MCMCoprobit iteration 750001 of 1050000 
beta = 
   3.61249
   0.61515
   3.46863
  -0.63445
   1.16525
   0.86435
   0.48576
  -0.93567
   1.53536
   1.05183
  -0.13773
   1.32507
  -0.55643
  -0.65251
   0.22973
   1.68171
   0.56567
  -0.88798
   0.32157
   0.69558
   1.14311
   1.22111
   1.49150
   0.37797
  -3.66401
  -2.48098
  -2.90668
  -3.18016
  -1.24128
  -2.08412
  -3.99415
  -3.20529
  -3.88119
  -3.98978
  -2.97644
  -2.73868
  -4.12067
  -3.64141
  -3.01955
  -3.28808
  -2.88689
  -2.94535
  -3.19626
  -2.65996
  -3.96807
  -2.63245
  -2.29210
  -3.15785
Metropolis acceptance rate for gamma = 0.25742



MCMCoprobit iteration 760001 of 1050000 
beta = 
   3.99022
   0.37990
   3.50844
  -0.78013
   0.79082
   1.00890
   0.74868
  -0.99901
   1.78105
   1.20381
  -0.40571
   1.20566
  -0.25762
  -1.01768
   0.12362
   2.04115
   0.51368
  -0.98175
   0.53920
   0.37429
   0.97964
   1.44999
   2.12851
   0.35077
  -3.88630
  -2.63099
  -3.32319
  -3.58692
  -1.10227
  -3.00743
  -4.22728
  -3.46810
  -3.65615
  -4.13563
  -3.27608
  -2.70973
  -4.38159
  -4.50130
  -3.96114
  -4.08698
  -3.08444
  -2.89849
  -3.72567
  -2.51683
  -4.30548
  -3.09376
  -2.59436
  -3.50889
Metropolis acceptance rate for gamma = 0.25743



MCMCoprobit iteration 770001 of 1050000 
beta = 
   4.01852
  -0.06780
   3.31885
  -1.18720
   0.77245
   0.60047
   0.25986
  -1.64120
   0.59052
   0.91570
  -0.44153
   0.39081
  -1.08779
  -0.88489
   0.33963
   1.52871
  -0.64748
  -1.60477
   0.00417
  -0.00119
   0.69340
   1.32574
   1.76220
   0.04508
  -3.55652
  -2.65595
  -3.63369
  -3.83625
  -1.58476
  -2.95592
  -3.82749
  -3.08131
  -4.36066
  -4.34635
  -3.24197
  -2.72042
  -4.44578
  -3.69154
  -3.65403
  -4.25220
  -3.36949
  -3.47666
  -3.56148
  -2.92017
  -4.31121
  -3.41838
  -2.61752
  -3.68550
Metropolis acceptance rate for gamma = 0.25741



MCMCoprobit iteration 780001 of 1050000 
beta = 
   3.87622
   0.06779
   4.12558
  -0.64212
   0.68679
   0.96696
   0.74714
  -1.47726
   1.47697
   1.46412
   0.21418
   1.63395
  -0.60725
  -0.65432
   0.18147
   1.61778
   0.43412
  -1.12518
   0.35495
   0.25743
   0.83937
   1.53261
   2.20399
   0.01366
  -3.67379
  -2.62106
  -3.17241
  -3.85855
  -1.70375
  -2.45544
  -4.09560
  -3.72897
  -3.98221
  -4.04918
  -3.53615
  -2.82499
  -4.54678
  -4.55012
  -3.41403
  -3.69977
  -3.24608
  -3.03952
  -3.21184
  -2.37550
  -3.97318
  -3.29935
  -2.16393
  -3.08569
Metropolis acceptance rate for gamma = 0.25745



MCMCoprobit iteration 790001 of 1050000 
beta = 
   4.07578
   0.07466
   3.05658
  -0.89236
   0.68532
   0.99352
   0.12285
  -1.49343
   1.03388
   0.90052
  -0.77209
   0.66940
  -0.84133
  -0.81747
   0.14274
   1.60136
  -0.07395
  -1.80477
   0.28429
  -0.13762
   0.49537
   0.68516
   1.38194
   0.19720
  -4.23566
  -2.93770
  -3.18971
  -3.73511
  -2.08067
  -2.73669
  -4.75751
  -4.12149
  -4.78514
  -3.84987
  -3.19223
  -3.18616
  -4.00684
  -4.26659
  -3.90787
  -3.97745
  -3.78699
  -3.24900
  -3.79078
  -2.63477
  -3.84991
  -3.40696
  -2.48292
  -3.18174
Metropolis acceptance rate for gamma = 0.25738



MCMCoprobit iteration 800001 of 1050000 
beta = 
   4.06388
  -0.00460
   3.85416
  -1.15614
   0.74728
   1.51431
   0.70456
  -1.14374
   0.95758
   1.24303
  -0.23105
   1.25279
  -0.57534
  -0.35499
   0.10657
   2.03751
   0.50020
  -1.42194
   0.02181
   0.17015
   0.64002
   0.99417
   1.66096
   0.31433
  -4.20550
  -2.42002
  -3.01643
  -3.80434
  -1.37493
  -3.06761
  -4.09732
  -3.19163
  -4.40158
  -3.80586
  -3.61423
  -3.35821
  -4.68082
  -4.15589
  -3.38441
  -4.29038
  -3.35055
  -3.08378
  -3.56525
  -2.70662
  -4.25646
  -3.58421
  -2.04523
  -3.20884
Metropolis acceptance rate for gamma = 0.25724



MCMCoprobit iteration 810001 of 1050000 
beta = 
   3.69102
  -0.10821
   3.52164
  -0.69039
   1.01043
   1.54880
   0.76737
  -1.38850
   1.04812
   0.90901
  -0.49988
   1.55408
  -0.42719
  -0.75310
   0.34270
   1.71651
   0.51348
  -1.38624
   0.60942
   0.30269
   1.13168
   1.36589
   1.79970
  -0.13363
  -3.30074
  -2.44030
  -3.36362
  -3.56887
  -1.73257
  -2.78349
  -3.91850
  -3.71070
  -3.71505
  -3.63908
  -3.11360
  -2.25665
  -4.47153
  -3.46195
  -3.68150
  -3.81198
  -2.94268
  -2.73815
  -3.28746
  -2.41694
  -3.98821
  -3.05389
  -2.88239
  -3.05758
Metropolis acceptance rate for gamma = 0.25718



MCMCoprobit iteration 820001 of 1050000 
beta = 
   3.60603
   0.44809
   3.57941
  -0.57717
   1.04530
   1.41699
   0.57351
  -0.85305
   1.57687
   1.33317
  -0.13528
   1.48058
  -0.09779
  -0.44624
   0.52888
   2.03687
   0.12665
  -1.11129
   0.90681
   0.54993
   0.58655
   1.78837
   1.83560
   0.05951
  -3.52397
  -2.50882
  -2.73826
  -3.52346
  -1.42308
  -2.42337
  -4.19391
  -3.18705
  -4.00982
  -3.98581
  -2.68597
  -2.27084
  -4.10478
  -4.12914
  -3.24364
  -3.33296
  -3.09698
  -2.94762
  -3.18713
  -2.79581
  -4.13597
  -2.90625
  -2.43968
  -2.66728
Metropolis acceptance rate for gamma = 0.25715



MCMCoprobit iteration 830001 of 1050000 
beta = 
   4.21807
  -0.18366
   3.65335
  -1.10258
   1.30725
   1.59611
   0.55837
  -1.56501
   1.37893
   0.85037
  -0.53634
   1.05471
  -0.72243
  -0.68996
   0.31815
   1.84803
   0.04768
  -1.28650
   0.35054
   0.37510
   1.15608
   1.55349
   1.52516
   0.28089
  -3.91923
  -2.81763
  -3.38582
  -3.68149
  -1.73103
  -3.14362
  -4.48072
  -3.87592
  -4.37282
  -4.07152
  -3.77958
  -2.42974
  -5.08904
  -5.42502
  -3.56441
  -3.57822
  -3.54177
  -3.55803
  -3.73784
  -3.06548
  -4.24261
  -3.12807
  -2.81732
  -3.56551
Metropolis acceptance rate for gamma = 0.25717



MCMCoprobit iteration 840001 of 1050000 
beta = 
   3.62704
   0.30083
   3.33180
  -0.73104
   1.38958
   1.38648
   0.99880
  -1.21973
   0.81468
   1.20783
   0.58926
   1.57839
  -0.67799
  -0.25458
   0.32571
   1.90614
   0.91130
  -1.17696
   0.56859
   0.21204
   0.57565
   1.28547
   2.06682
   0.54314
  -3.83588
  -2.05505
  -2.66155
  -3.43069
  -1.29263
  -2.99986
  -4.09501
  -3.21501
  -3.36350
  -3.77490
  -3.02339
  -2.77901
  -4.21188
  -4.22132
  -3.36352
  -3.47676
  -3.07698
  -3.14382
  -3.18998
  -1.95886
  -3.96528
  -2.53580
  -2.36065
  -3.16080
Metropolis acceptance rate for gamma = 0.25721



MCMCoprobit iteration 850001 of 1050000 
beta = 
   3.83758
  -0.33305
   3.66253
  -1.13234
   1.01945
   1.12016
   0.71233
  -1.41523
   1.22887
   1.16582
  -0.85950
   1.22824
  -0.80772
  -0.86846
  -0.12725
   1.27343
   0.16798
  -1.78726
   0.09103
   0.14507
   0.31567
   1.60678
   1.77976
   0.11390
  -3.52938
  -2.41996
  -3.38724
  -3.65011
  -1.58666
  -2.67020
  -4.08378
  -3.45547
  -4.06084
  -3.87661
  -3.33341
  -2.47680
  -4.05204
  -4.05991
  -3.56193
  -3.61937
  -3.50054
  -3.04621
  -3.34525
  -2.88639
  -3.74801
  -3.14172
  -2.56331
  -3.31816
Metropolis acceptance rate for gamma = 0.25708



MCMCoprobit iteration 860001 of 1050000 
beta = 
   3.69690
   0.35350
   3.35543
  -0.81879
   1.70670
   1.84913
   0.74694
  -0.86833
   1.55563
   1.33515
   0.45741
   1.73233
  -0.51625
  -0.37622
   0.34866
   2.02753
   0.53013
  -1.29156
   0.64579
   0.32020
   0.63612
   1.74382
   1.94948
   0.38620
  -2.98247
  -2.44830
  -2.89898
  -3.46850
  -1.74006
  -2.56253
  -3.72390
  -3.24353
  -4.14472
  -3.72082
  -2.71585
  -1.88723
  -4.23134
  -4.40166
  -3.34501
  -3.19729
  -3.43007
  -2.91641
  -3.45639
  -2.52614
  -3.55180
  -3.08710
  -2.26864
  -3.33642
Metropolis acceptance rate for gamma = 0.25702



MCMCoprobit iteration 870001 of 1050000 
beta = 
   3.81334
   0.28807
   3.81537
  -1.11994
   1.03471
   1.53893
   0.83008
  -1.08953
   1.10624
   0.97690
   0.02235
   1.44304
  -0.49857
  -0.60576
   0.01715
   2.02210
  -0.21787
  -1.47403
   0.60326
  -0.07002
   1.06988
   1.52857
   2.51795
   0.03063
  -4.19206
  -2.75619
  -3.20631
  -3.21785
  -1.59923
  -2.85059
  -4.13440
  -2.96068
  -3.95142
  -3.94451
  -3.33646
  -3.00954
  -4.17207
  -4.71317
  -3.69267
  -3.69014
  -3.47605
  -2.94625
  -3.33284
  -2.88363
  -4.33294
  -3.13429
  -2.83463
  -3.21847
Metropolis acceptance rate for gamma = 0.25706



MCMCoprobit iteration 880001 of 1050000 
beta = 
   3.87079
  -0.07576
   3.43119
  -0.77252
   0.64550
   1.03162
   0.21392
  -1.31400
   1.61963
   1.41246
  -0.05733
   1.04742
  -0.74058
  -0.82268
   0.28158
   1.65751
   0.28902
  -1.34975
   0.01903
   0.52867
   0.89965
   1.78115
   2.11729
   0.52571
  -3.75599
  -2.64096
  -2.88834
  -3.09047
  -1.64635
  -2.91986
  -4.43158
  -3.41840
  -3.89446
  -3.82347
  -3.02779
  -2.92640
  -4.25917
  -3.92117
  -3.40750
  -3.59330
  -3.29252
  -3.31589
  -3.32661
  -3.09709
  -4.10096
  -3.53720
  -2.45767
  -3.32682
Metropolis acceptance rate for gamma = 0.25705



MCMCoprobit iteration 890001 of 1050000 
beta = 
   4.07341
   0.03726
   3.13440
  -1.03947
   0.70560
   1.07689
   0.44755
  -1.46249
   1.30404
   1.15123
  -0.87745
   1.06138
  -0.94268
  -0.24457
   0.47055
   1.71675
   0.23207
  -1.58985
  -0.01044
   0.38008
   0.85189
   1.37366
   1.93069
  -0.03828
  -3.64658
  -2.62470
  -3.43526
  -3.92532
  -1.63450
  -2.80809
  -4.27558
  -3.63472
  -4.55073
  -4.14198
  -3.19774
  -3.07332
  -4.73599
  -4.88464
  -3.80654
  -3.69715
  -3.65628
  -3.21287
  -3.57157
  -2.38956
  -4.40438
  -3.81176
  -2.75318
  -3.58647
Metropolis acceptance rate for gamma = 0.25695



MCMCoprobit iteration 900001 of 1050000 
beta = 
   3.97777
   0.10701
   3.17636
  -1.15718
   0.58776
   0.93236
   0.67757
  -1.18003
   0.91885
   0.75167
  -0.01048
   0.85964
  -0.87788
  -0.81497
  -0.15809
   1.27643
   0.11220
  -2.02211
  -0.11638
  -0.06769
   0.79857
   1.05467
   1.20789
  -0.22397
  -3.25070
  -2.51615
  -3.05636
  -3.67810
  -1.67605
  -2.97962
  -4.50342
  -3.96156
  -3.53200
  -4.38154
  -3.47093
  -3.08276
  -4.56028
  -4.34652
  -3.32848
  -3.74118
  -3.01253
  -2.94267
  -3.85770
  -2.45601
  -4.17103
  -2.96613
  -2.39004
  -3.07550
Metropolis acceptance rate for gamma = 0.25692



MCMCoprobit iteration 910001 of 1050000 
beta = 
   4.31701
  -0.51956
   3.18327
  -1.20097
   0.37703
   0.86031
   0.30626
  -1.31986
   1.49286
   1.04205
  -0.90501
   0.73758
  -0.52250
  -1.07999
  -0.15628
   1.88690
   0.24893
  -1.75379
   0.31703
  -0.14333
   0.76500
   1.23314
   1.82516
  -0.12481
  -4.13102
  -3.10734
  -3.64547
  -3.90410
  -1.70241
  -3.40148
  -4.37245
  -3.93396
  -4.36580
  -4.27983
  -3.70385
  -3.26528
  -4.28715
  -4.92960
  -3.77310
  -3.86339
  -3.47112
  -3.38413
  -4.46343
  -2.92515
  -4.22060
  -3.13609
  -2.81561
  -3.71459
Metropolis acceptance rate for gamma = 0.25694



MCMCoprobit iteration 920001 of 1050000 
beta = 
   4.10554
   0.07383
   3.24152
  -1.24557
   1.58400
   1.40906
  -0.02618
  -1.72318
   0.96703
   0.97668
  -0.77565
   0.69736
  -0.61627
  -0.88298
   0.40059
   1.92172
   0.41152
  -1.26245
   0.17112
   0.04374
   0.37783
   1.70702
   1.39433
   0.33989
  -3.57711
  -2.58052
  -3.36135
  -3.83753
  -1.90511
  -3.13115
  -4.11469
  -3.73817
  -4.45180
  -4.02398
  -4.00126
  -2.97251
  -4.70586
  -4.39559
  -3.70261
  -3.68830
  -3.40738
  -3.26055
  -3.93348
  -3.38673
  -4.32808
  -3.13532
  -2.97866
  -3.79278
Metropolis acceptance rate for gamma = 0.25691



MCMCoprobit iteration 930001 of 1050000 
beta = 
   4.03059
   0.18615
   3.03038
  -0.88739
   0.49060
   0.73963
   0.44453
  -1.98164
   0.94778
   1.14757
   0.01063
   1.24547
  -0.95315
  -0.63635
   0.16448
   2.04146
   0.11076
  -1.80135
   0.33412
   0.42081
   0.78140
   1.18404
   2.13088
   0.39931
  -4.10353
  -2.48472
  -3.23734
  -3.99740
  -2.01022
  -2.69137
  -4.22030
  -3.81569
  -3.43881
  -4.23873
  -3.37556
  -2.57661
  -4.09170
  -4.65687
  -3.48854
  -3.84034
  -3.36713
  -3.18049
  -3.79886
  -2.68894
  -4.02412
  -3.11027
  -2.86172
  -3.25088
Metropolis acceptance rate for gamma = 0.25703



MCMCoprobit iteration 940001 of 1050000 
beta = 
   4.10731
  -0.06103
   3.29352
  -1.09459
   0.76817
   1.19760
   0.56095
  -1.56572
   1.33081
   0.89757
  -0.42981
   0.77774
  -0.78205
  -0.24735
   0.15630
   1.74425
   0.18948
  -1.82980
   0.66042
  -0.01635
   1.17161
   1.70975
   1.79663
   0.14009
  -3.86794
  -2.69218
  -3.23775
  -3.74293
  -1.69094
  -2.94730
  -4.39663
  -3.46390
  -3.67964
  -4.07143
  -3.06496
  -3.20840
  -4.18571
  -3.88466
  -4.00822
  -3.77991
  -3.35313
  -3.72137
  -3.93696
  -2.91594
  -4.32666
  -3.10365
  -2.15735
  -3.42107
Metropolis acceptance rate for gamma = 0.25705



MCMCoprobit iteration 950001 of 1050000 
beta = 
   3.79001
   0.55107
   3.65179
  -0.89624
   1.23069
   1.33197
   1.05248
  -1.28720
   1.47916
   0.85910
  -0.32580
   1.20296
  -0.74674
  -0.10691
   0.61331
   1.75281
   0.37419
  -1.31294
   0.47981
   0.19273
   0.98965
   1.06583
   2.14423
   0.09468
  -3.40071
  -2.55615
  -2.56028
  -2.90755
  -1.81961
  -2.54783
  -4.33267
  -3.23228
  -3.45536
  -3.35627
  -2.85427
  -2.60148
  -3.99066
  -4.10222
  -3.24207
  -3.50793
  -3.05947
  -3.21969
  -3.71046
  -2.96108
  -3.79404
  -2.83011
  -2.28673
  -3.17139
Metropolis acceptance rate for gamma = 0.25707



MCMCoprobit iteration 960001 of 1050000 
beta = 
   3.67088
   0.04908
   3.76334
  -0.93191
   1.50132
   1.51686
   1.00893
  -0.96035
   1.17946
   1.43513
   0.00950
   1.08291
  -0.18253
  -0.42239
   0.17567
   1.99798
   0.88263
  -1.30316
   0.50043
   0.22269
   1.51381
   1.72309
   1.75992
   0.37227
  -3.89052
  -2.43920
  -3.07991
  -3.49630
  -1.50531
  -2.00143
  -4.31525
  -3.43239
  -3.68090
  -4.05118
  -3.37267
  -2.24440
  -3.79272
  -3.78158
  -3.49627
  -3.50452
  -3.31179
  -2.93975
  -3.10527
  -2.32671
  -4.35465
  -2.87291
  -2.71335
  -3.30433
Metropolis acceptance rate for gamma = 0.25713



MCMCoprobit iteration 970001 of 1050000 
beta = 
   3.88008
  -0.00099
   3.50613
  -0.94308
   1.36885
   1.61000
   0.94568
  -0.91830
   1.12254
   1.55396
   0.02129
   1.37924
  -0.79795
  -0.55572
   0.16579
   2.18810
   0.29401
  -1.34221
   0.29369
   0.46393
   1.29049
   1.54150
   2.15899
   0.22769
  -3.98088
  -2.38138
  -3.16577
  -3.67927
  -1.29450
  -2.71938
  -4.09676
  -3.58649
  -4.09626
  -3.96416
  -3.04054
  -2.92078
  -3.67768
  -4.27148
  -4.07972
  -3.34786
  -3.22849
  -2.47323
  -3.28497
  -2.48359
  -4.29881
  -2.72269
  -2.52207
  -3.20243
Metropolis acceptance rate for gamma = 0.25710



MCMCoprobit iteration 980001 of 1050000 
beta = 
   3.98746
   0.13710
   3.70235
  -0.64182
   1.31660
   1.21262
   0.22968
  -1.34992
   1.78905
   1.14809
  -0.41995
   1.11120
  -0.85599
  -0.28325
   0.34149
   1.85251
   0.89393
  -1.47479
   0.49060
   0.64378
   1.06570
   1.88055
   1.87893
   0.46646
  -3.96411
  -3.00412
  -3.15655
  -3.79979
  -1.47859
  -2.21351
  -4.38459
  -3.86327
  -4.00312
  -4.17938
  -3.41973
  -3.04416
  -3.82728
  -3.59016
  -3.52989
  -3.50977
  -3.47738
  -3.11058
  -3.49776
  -2.48031
  -4.02142
  -3.27572
  -2.60682
  -3.22988
Metropolis acceptance rate for gamma = 0.25710



MCMCoprobit iteration 990001 of 1050000 
beta = 
   4.41768
  -0.19545
   3.27245
  -1.88674
   0.71302
   1.05304
   0.46184
  -1.56134
   0.72900
   0.62775
  -0.71672
   0.90401
  -0.94352
  -1.09011
  -0.14125
   1.45890
  -0.32471
  -1.76828
  -0.03913
  -0.28809
   0.53432
   0.98499
   1.41752
  -0.58103
  -4.33764
  -2.76750
  -3.92990
  -3.80569
  -2.18274
  -3.15862
  -5.23764
  -4.04547
  -4.53622
  -5.13916
  -3.86080
  -3.36592
  -4.86301
  -4.77645
  -4.53025
  -3.87807
  -3.74157
  -3.62305
  -3.82140
  -2.94574
  -4.54563
  -3.59132
  -2.84798
  -3.66222
Metropolis acceptance rate for gamma = 0.25705



MCMCoprobit iteration 1000001 of 1050000 
beta = 
   3.74212
   0.65980
   4.18931
  -0.42508
   1.63061
   1.62226
   0.69455
  -1.11876
   1.69334
   1.65854
  -0.29986
   1.65716
  -0.18761
   0.07964
   0.45512
   1.62406
   0.04298
  -1.28029
   0.85913
   0.36003
   1.64857
   2.18165
   1.95337
   0.38478
  -3.66325
  -2.23185
  -3.11898
  -3.64971
  -1.57348
  -2.58692
  -4.20497
  -3.30501
  -3.68414
  -3.55943
  -2.88164
  -2.80640
  -4.45456
  -4.38998
  -3.70933
  -3.38910
  -3.21187
  -2.52214
  -3.40035
  -2.70432
  -3.76255
  -2.74814
  -2.53137
  -3.10954
Metropolis acceptance rate for gamma = 0.25709



MCMCoprobit iteration 1010001 of 1050000 
beta = 
   3.98925
   0.08191
   3.26998
  -0.61907
   1.12324
   0.77331
   0.52271
  -1.38918
   1.31490
   0.98392
  -0.23616
   1.22061
  -0.94332
  -0.55822
   0.32079
   1.52060
   0.23858
  -1.38325
   0.43086
   0.45110
   0.96671
   1.50693
   2.07812
   0.26814
  -3.86020
  -2.59186
  -3.42182
  -3.62926
  -1.39115
  -3.18990
  -4.62029
  -2.98749
  -3.84784
  -3.87089
  -3.22781
  -3.23086
  -4.42761
  -4.31055
  -3.75580
  -3.66661
  -3.07650
  -3.41611
  -3.71661
  -2.91431
  -4.47281
  -3.10743
  -2.18534
  -3.31121
Metropolis acceptance rate for gamma = 0.25706



MCMCoprobit iteration 1020001 of 1050000 
beta = 
   3.94188
   0.61076
   3.23192
  -0.55189
   1.17814
   1.32589
   0.70473
  -1.28252
   1.64988
   1.19364
  -0.19518
   1.66111
  -0.27880
  -0.43217
   0.41646
   1.66517
   0.86074
  -1.43379
   0.45391
   0.32553
   0.95329
   1.39227
   2.01785
   0.27137
  -3.59388
  -1.93419
  -3.23400
  -3.87788
  -1.39211
  -2.76851
  -4.04712
  -3.91029
  -4.54420
  -4.27578
  -3.05108
  -2.65003
  -3.54587
  -4.14382
  -3.36016
  -3.57379
  -3.24719
  -3.28671
  -3.37924
  -2.29186
  -4.33506
  -3.01598
  -2.67977
  -3.58158
Metropolis acceptance rate for gamma = 0.25707



MCMCoprobit iteration 1030001 of 1050000 
beta = 
   3.42401
   0.45541
   4.00765
  -0.89954
   1.52239
   1.50866
   1.21332
  -1.06628
   1.97108
   1.80748
   0.40484
   2.15621
  -0.12471
  -0.84965
   0.71859
   2.46694
   0.72089
  -1.15990
   1.02868
   0.93361
   1.62066
   1.98600
   2.42194
   0.43505
  -3.22179
  -1.99260
  -2.69711
  -3.32101
  -1.25140
  -2.61606
  -3.70723
  -3.37810
  -3.51906
  -3.82321
  -2.83368
  -2.52559
  -3.54012
  -3.71563
  -2.49242
  -3.36222
  -2.80396
  -2.87769
  -3.11768
  -2.24882
  -3.76810
  -2.47682
  -1.72975
  -2.71492
Metropolis acceptance rate for gamma = 0.25708



MCMCoprobit iteration 1040001 of 1050000 
beta = 
   3.93600
   0.37817
   3.64072
  -0.50423
   0.88243
   1.26390
   0.93394
  -1.15056
   1.15856
   1.70142
  -0.21840
   1.21737
  -0.58473
  -0.06917
   0.46030
   1.65586
   0.19094
  -1.43296
   0.34926
   0.67744
   1.24620
   1.54658
   1.94713
   0.35822
  -3.89206
  -2.78180
  -3.00958
  -3.85350
  -1.28164
  -3.26192
  -3.87327
  -3.74193
  -4.39231
  -4.14940
  -3.47498
  -2.70597
  -4.89742
  -3.80148
  -3.42356
  -3.48351
  -3.21414
  -2.96586
  -3.49368
  -2.96389
  -4.04319
  -3.30790
  -2.56221
  -3.37953
Metropolis acceptance rate for gamma = 0.25701



@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
The Metropolis acceptance rate for beta was 0.25701
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
> 
> 
> save(a3.M1.out, file="MM3.2.a3.M1.out.Rda")
> 
> proc.time()
   user  system elapsed 
803.925   3.295 969.665 
